Find the solution of Equation of form `(a sin x + b cos x +c)` with Algorithm

Find the general solution of sin5x cos 3x = sin9x cos7x

Find the number of solution of the equation sqrt(cos 2x+2)=(sin x + cos x) in [0, pi] .

The solution set of equation cos^(5)x=1+sin^(4)x is

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

Find the general solutions of equation sin^(4)x + cos^(4)x=sinx cosx

Integral of form (a sin x+b cos x)/(c cos x+d sin x)

Integral of form (a sin x+b cos x+c)/(p cosx+q sin x+r)